Atkin-Lehner |
2- 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87514p |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-9604136416 = -1 · 25 · 72 · 194 · 47 |
Discriminant |
Eigenvalues |
2- 2 1 7- 1 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-190,-4901] |
[a1,a2,a3,a4,a6] |
j |
-15485715889/196002784 |
j-invariant |
L |
5.5196392071979 |
L(r)(E,1)/r! |
Ω |
0.55196393066153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87514k1 |
Quadratic twists by: -7 |